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Research Papers

Influence of Poroelasticity of the Surface Layer on the Surface Love Wave Propagation

[+] Author and Article Information
Adil El Baroudi

LAMPA Engineering Laboratory Arts &
Métiers ParisTech,
Angers 49035, France
e-mail: adil.elbaroudi@ensam.eu

Manuscript received December 21, 2017; final manuscript received February 9, 2018; published online March 2, 2018. Assoc. Editor: Thomas Siegmund.

J. Appl. Mech 85(5), 051002 (Mar 02, 2018) (7 pages) Paper No: JAM-17-1691; doi: 10.1115/1.4039336 History: Received December 21, 2017; Revised February 09, 2018

This work presents a theoretical method for surface love waves in poroelastic media loaded with a viscous fluid. A complex analytic form of the dispersion equation of surface love waves has been developed using an original resolution based on pressure–displacement formulation. The obtained complex dispersion equation was separated in real and imaginary parts. mathematica software was used to solve the resulting nonlinear system of equations. The effects of surface layer porosity and fluid viscosity on the phase velocity and the wave attenuation dispersion curves are inspected. The numerical solutions show that the wave attenuation and phase velocity variation strongly depend on the fluid viscosity, surface layer porosity, and wave frequency. To validate the original theoretical resolution, the results in literature in the case of an homogeneous isotropic surface layer are used. The results of various investigations on love wave propagation can serve as benchmark solutions in design of fluid viscosity sensors, in nondestructive testing (NDT) and geophysics.

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Figures

Grahic Jump Location
Fig. 1

Schematic representation of the surface love wave waveguide. d and ϕ are, respectively, the thickness and porosity of the surface layer (domain Ω). μ1 and ρ1 are, respectively, the dynamic viscosity and density of the fluid (domain Ω1). μ2 and ρ2 correspond to the shear modulus and density of the elastic substrate (domain Ω2), respectively. Surface love waves that propagate in the x1-direction are polarized along the x3-axis.

Grahic Jump Location
Fig. 14

Attenuation dispersion curves versus frequency for various fluid dynamic viscosities in the case of a poroelastic surface layer (ϕ = 0.5)

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Fig. 13

Attenuation dispersion curves versus frequency for various fluid dynamic viscosities in the case of a poroelastic surface layer (ϕ = 0.1)

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Fig. 12

Attenuation dispersion curves versus frequency for various fluid dynamic viscosities in the case of an elastic surface layer (ϕ → 0)

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Fig. 11

Phase velocity dispersion curves versus frequency for various fluid dynamic viscosities in the case of a poroelastic surface layer (ϕ = 0.5)

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Fig. 10

Phase velocity dispersion curves versus frequency for various fluid dynamic viscosities in the case of a poroelastic surface layer (ϕ = 0.1)

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Fig. 9

Phase velocity dispersion curves versus frequency for various fluid dynamic viscosities in the case of an elastic surface layer (ϕ → 0)

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Fig. 8

Attenuation dispersion curves versus fluid dynamic viscosity for various frequencies in the case of an elastic surface layer (ϕ → 0)

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Fig. 7

Phase velocity dispersion curve versus dynamic viscosity of fluid for f = 5 (MHZ) in the case of a poroelastic surface layer

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Fig. 6

Phase velocity dispersion curve versus dynamic viscosity of fluid for f = 1 (MHZ) in the case of a poroelastic surface layer

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Fig. 5

Phase velocity dispersion curve versus dynamic viscosity of fluid for f = 5 (MHZ) in the case of a poroelastic surface layer

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Fig. 4

Phase velocity dispersion curve versus dynamic viscosity of fluid for f = 1 (MHZ) in the case of a poroelastic surface layer

Grahic Jump Location
Fig. 3

Phase velocity dispersion curve versus dynamic viscosity of fluid for f = 5 (MHZ) in the case of an elastic surface layer

Grahic Jump Location
Fig. 2

Phase velocity dispersion curve versus dynamic viscosity of fluid for f = 1 (MHZ) in the case of an elastic surface layer

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